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A 2500 kg car traveling to the north is slowed down uniformly from an initial velocity of 28.1 m/s?
A 2500 kg car traveling to the north is slowed down uniformly from an initial velocity of 28.1 m/s by a 7440 N braking force acting opposite the car's motion.
a) What is the car's velocity after 2.50 s? Answer in units of m/s.
b) How far does the car move during the 2.5 s s? Answer in units of m.
c) How long does it take the car to come to a complete stop? Answer in units of s.
Mass of the car m=2500 kg
Initial velocity u = 28.1 m/s
Retarding force F = - 7440 N
(minus sign because direction of force is opposite to initial velocity)
Acceleration a = Force / mass= -7440 /2500 = - 2.976 m/s^2
Time t = 2.50 s
( a)The car's vlocity after 2.5 s, v=?
v = u+at but u= 28.1m/s
v= u+ at = 28.1 - 2.976*2,5= 20.66 m/s
The car's vlocity after 2.5 s is 20.66 m/s
______________________________________________________________________
(b) Distance traveled by the car in 2.5 s, s=ut+(1/2)at^2
s = 28.1*2.5 -(1/2)[ -2.876*2.5*2.5]=61.2625 m
Distance traveled by the car in 2.5 s is 61.2625 m
_____________________________________________________________________
(c) Time taken to stop t!=? final velocity V=zero
V = u+at
zero=28.1 + ( - 2.976) t!
zero=28.1 - 2.976 t!
t! = 28.1 / 2.976=9.442 s
From initial instant, it takes the car 9.442 s to come to a complete stop
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